Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24600bk |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-19680000 = -1 · 28 · 3 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-237] |
[a1,a2,a3,a4,a6] |
Generators |
[77:678:1] |
Generators of the group modulo torsion |
j |
-25600/123 |
j-invariant |
L |
6.6652125505571 |
L(r)(E,1)/r! |
Ω |
0.89864460824311 |
Real period |
R |
3.7084807995387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200q1 73800bd1 24600h1 |
Quadratic twists by: -4 -3 5 |